2213000 has 32 divisors (see below), whose sum is σ = 5180760. Its totient is φ = 884800.

The previous prime is 2212979. The next prime is 2213033. The reversal of 2213000 is 3122.

It can be written as a sum of positive squares in 4 ways, for example, as 1406596 + 806404 = 1186^2 + 898^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 107 + ... + 2106.

2^2213000 is an apocalyptic number.

2213000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2590380).

2213000 is an abundant number, since it is smaller than the sum of its proper divisors (2967760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2213000 is a wasteful number, since it uses less digits than its factorization.

2213000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2234 (or 2220 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 2213000 is about 1487.6155417311. The cubic root of 2213000 is about 130.3148188470.

Adding to 2213000 its reverse (3122), we get a palindrome (2216122).

The spelling of 2213000 in words is "two million, two hundred thirteen thousand".